Exam #1 (covers chapters 1-5), Math 140
Spring 2015, CSUN
Show All Work! Name:___________________________
Seat Number:_____________________
Papers without name/seat number would lose 10 points. Write your name and seat number now.
You must show all work for full credit.
1) Define the following term: Stratified Random Sample. (6 points)
2) The amount of cash (rounded to whole dollars) carried by each student in a simple random sample of CSUN’s
students who take MWF classes are given below: 3, 5, 8, 11, 4, 11, 9, 6, 9, 21, 24, 32, 23, 18, 25, 17, 2, 1, 30,
15, 27, 28, 32, 16, 20, 8, 5, 2, 20, 15.
A) Construct a relative frequency distribution table, with the first class having a lower class limit of 1 and a
class width of 6. (8 points)
B) Construct a relative cumulative frequency distribution related to part (A). (4 points)
C) Construct a histogram and a pie chart for the data set in part A, use relative frequency for both graphs. (8
points)
2
3) The average distance of students living away from campus is 10 miles. If the standard deviation is 2.5 miles,
what are the z-scores for two students who live 14 and 20 miles away from campus? Are these z-scores usual
or unusual? Explain why or why not. (8 points)
4) The following frequency distribution shows the ages of the employees working in a movie production company
in Hollywood. Treating these data as a sample of employees in movie industry, A) compute the mean, and
standard deviation. Comment on age distribution of the employees. Explain. (12 points)
Age Frequency
20 - 24 11
25 - 29 19
30 - 34 25
35 - 39 20
40 - 44 10
3
5) Find the 5-number summary for the data: 2, 8, 5, 10, 15, 9, 21, 32, 17, 18, 24, 43, 28, 20. Indicate any outliers
by calculating upper and lower fences and mark all these information on a boxplot. (16 points)
4
6) Let X be the number children with green eyes in a family of four children whose one of their parents has green
eyes. Is the following a probability distribution? If yes, then find its mean and standard deviation. If not,
explain why not. (13 points)
X P(X)
0 0.35
1 0.25
2 0.20
3 0.15
4 0.05
7) A family has three children, find the probability of having at least two boys. Write the sample space, first. (10
points)
5
8) A recent survey indicates that 55% of adults ages 40-49 live alone. A) If we randomly select 10 adults from
that age group, what is the probability that at least one of them lives alone? B) Is it unusual to randomly select
10 adults from that age group to find that at least 1 of them lives alone? Why or why not? C) Find mean and
standard deviation when n is 10 and p = 0.55. (15 points)
€
x =
Σx
n
...
Exam #1 (covers chapters 1-5), Math 140 Spring 2015, CS.docx
1. Exam #1 (covers chapters 1-5), Math 140
Spring 2015, CSUN
Show All Work!
Name:___________________________
Seat Number:_____________________
Papers without name/seat number would lose 10 points. Write
your name and seat number now.
You must show all work for full credit.
1) Define the following term: Stratified Random Sample. (6
points)
2) The amount of cash (rounded to whole dollars) carried by
each student in a simple random sample of CSUN’s
students who take MWF classes are given below: 3, 5, 8, 11, 4,
11, 9, 6, 9, 21, 24, 32, 23, 18, 25, 17, 2, 1, 30,
15, 27, 28, 32, 16, 20, 8, 5, 2, 20, 15.
A) Construct a relative frequency distribution table, with the
first class having a lower class limit of 1 and a
class width of 6. (8 points)
B) Construct a relative cumulative frequency distribution
related to part (A). (4 points)
C) Construct a histogram and a pie chart for the data set in part
A, use relative frequency for both graphs. (8
points)
2. 2
3) The average distance of students living away from campus is
10 miles. If the standard deviation is 2.5 miles,
what are the z-scores for two students who live 14 and 20 miles
away from campus? Are these z-scores usual
or unusual? Explain why or why not. (8 points)
4) The following frequency distribution shows the ages of the
employees working in a movie production company
in Hollywood. Treating these data as a sample of employees in
movie industry, A) compute the mean, and
3. standard deviation. Comment on age distribution of the
employees. Explain. (12 points)
Age Frequency
20 - 24 11
25 - 29 19
30 - 34 25
35 - 39 20
40 - 44 10
3
5) Find the 5-number summary for the data: 2, 8, 5, 10, 15, 9,
21, 32, 17, 18, 24, 43, 28, 20. Indicate any outliers
by calculating upper and lower fences and mark all these
information on a boxplot. (16 points)
4.
5. 4
6) Let X be the number children with green eyes in a family of
four children whose one of their parents has green
eyes. Is the following a probability distribution? If yes, then
find its mean and standard deviation. If not,
explain why not. (13 points)
X P(X)
0 0.35
1 0.25
2 0.20
3 0.15
4 0.05
6. 7) A family has three children, find the probability of having at
least two boys. Write the sample space, first. (10
points)
5
8) A recent survey indicates that 55% of adults ages 40-49 live
alone. A) If we randomly select 10 adults from
that age group, what is the probability that at least one of them
lives alone? B) Is it unusual to randomly select
7. 10 adults from that age group to find that at least 1 of them
lives alone? Why or why not? C) Find mean and
standard deviation when n is 10 and p = 0.55. (15 points)
€
x =
Σx
n
mean,
€
x =
Σf ⋅ x
Σf
mean (freq. table),
€
s =
Σ(x − x )2
n −1
standard deviation,
€
s =
n(Σx2)−(Σx)2
n(n −1)
8. standard deviation (shortcut),
€
s =
n(Σf ⋅ x2)−(Σf ⋅ x)2
n(n −1)
standard deviation (freq table), variance =
€
s2,
€
z =
x − x
s
Standard score (sample),
€
z =
x − µ
σ
Standard score (population),
€
IQR = Q3 −Q1,
€
10. An artifact is something made by a human. It can be anything
that a human conceived of as art. For this assignment, you are
being asked to find and share a human-crafted object or artifact.
It can be anything that was crafted deliberately.
Make sure that your selection is electronically shareable and
meaningful to you so that you can evaluate the piece with the
following questions. Since you will be asked to share the object
with fellow classroom members for Week 3’s assignment, avoid
material that might be offensive or too personal for others to
comment on. For example, if you selected a song that contained
some cursing and graphic lyrics, there are radio friendly
versions of most songs that would be more conducive to
massive sharing.
Share your artifact in the space below and give a brief
description. You can share the link, insert the image/picture,
copy/paste, etc. Just make sure to cite the source of your
artifact.
Note- You will also be asked to share just your artifact in the
DocSharing area of our classroom next week. So make sure you
save the info. There are instructions at the very end of this
document about how to do that. You may want to do this now
too.
My artifact is a song by Shirley Caesar “I Remember Mama.”
This is song was one her most spiritual gossip song that she
made remembering all the great things about her mother. She
dedicated this song for Mother’s Day tribute to all mothers far
and near.
In the space below, write a short paragraph about why you
selected this artifact. Tell the reader the story of you and the
selected artifact from beginning to end. In other words, what’s
11. the story around this artifact as it connects to you.
I chose this particular artifact because not only on Mother’s
Day, I think about all the wonderful things that mother had done
for me. This artifact connects to how hard my mother work to
make sure that we had the best and made sure that we had
clothes, food, and shoes each and every day. Each and every
time I hear this song, I thank the Lord for a great mom and that
she is still here with me today. My mother is a gift from God
that I will cherish for the rest of my life. However, this song
makes me think of my grandmother. I remember every Sunday
going to church, she will turn on the radio and this song played.
My grandmother is a mother of mothers. She took the place of
all dads, moms, aunts, and uncles. She was like one of God’s
precious miracles that was sent to me and my family. I still cry
today when I hear this song because I know how much I miss
my grandma, but I know that as long as I have memories, she is
always here.
Provide some additional research on this artifact.
For example, if it is a song, do you have information about the
songwriter? If it is a painting, do you know any more about the
artist? Describe any additional information that you have about
the creator of the artifact. If the creator, or artist, is unknown,
please provide your best guess as to who created the artifact.
Shirley Caesar was born on October 13, 1938, in Durham, North
Carolina. She was inspired by her father, Big Jim Caesar. She
went to college in 1957 majoring in business education at North
Carolina State College. This is when she got her call as a
ministry. Her first sermon was in Chicago. She has become one
the most visible gospel singer in the world. However she had
plans of completing her education and becoming minister. In
1984, she earned a bachelor’s degree in business administration
from Shaw University. In 1990, she was ordained as a pastor by
her husband, Bishop Harold Ivory Williams, which is the head
13. Student ID: A00568875
Wk2Assgn+Haley-Selvon+J
March 12 2015Artifact Analysis Worksheet
An artifact is something made by a human. It can be anything
that a human conceived of as art. For this assignment, you are
being asked to find and share a human-crafted object or artifact.
It can be anything that was crafted deliberately.
Make sure that your selection is electronically shareable and
meaningful to you so that you can evaluate the piece with the
following questions. Since you will be asked to share the object
with fellow classroom members for Week 3’s assignment, avoid
material that might be offensive or too personal for others to
comment on. For example, if you selected a song that contained
some cursing and graphic lyrics, there are radio friendly
versions of most songs that would be more conducive to
massive sharing.
Share your artifact in the space below and give a brief
description. You can share the link, insert the image/picture,
copy/paste, etc. Just make sure to cite the source of your
artifact.
Note- You will also be asked to share just your artifact in the
DocSharing area of our classroom next week. So make sure you
save the info. There are instructions at the very end of this
document about how to do that. You may want to do this now
too.
Below is the lyrics and link to the song “Win” by Brian Mc
Knight that I choose as my artifact. The song is about never
giving up.
14. "Win" by Brian Mc Knight
Dark is the night
I can weather the storm
Never say die
I've been down this road before
I'll never quit
I'll never lay down, mm
See I promised myself that I'd never let me down
[1] - I'll never give up
Never give in
Never let a ray of doubt slip in
And if I fall
I'll never fail
I'll just get up and try again
Never lose hope
Never lose faith
There's much too much at stake
Upon myself I must depend
I'm not looking for place or show
I'm gonna win
No stopping now
There's still a ways to go, oh
Someway, somehow
Whatever it takes, I know
I'll never quit, no no
I'll never go down, mm, mm
I'll make sure they remember my name
A hundred years from now
[Repeat 1]
When it's all said and done
My once in a lifetime will be back again
Now is the time
15. To take a stand
Here is my chance
That's why I'll...
[Repeat 1]
Mmm, I'm gonna win
http://www.azlyrics.com/lyrics/brianmcknight/win.html
In the space below, write a short paragraph about why you
selected this artifact. Tell the reader the story of you and the
selected artifact from beginning to end. In other words, what’s
the story around this artifact as it connects to you
I selected this artifact for many reasons but mainly because of
the lyrics. The lyrics of this song is so deep that I can definitely
relate to it. Many times I feel like I’m drowning in my work
and can’t seem to come up for air. I would just listen to this
song and it would give me the inspiration I need to go on with
my tasks.
Provide some additional research on this artifact.
For example, if it is a song, do you have information about the
songwriter? If it is a painting, do you know any more about the
artist? Describe any additional information that you have about
the creator of the artifact. If the creator, or artist, is unknown,
please provide your best guess as to who created the artifact.
Sing and sound writer of the song “Win” is Brian McKnight.
He was born on 5th June 1969 in Buffalo, New York. Mr.
McKnight is a songwriter, singer, arranger, producer and R&B
musician.
He is an instrumentalist who plays nine (9) instruments. These
are piano, drums,
Guitar, percussions, bass guitar, trombone, tuba, flugelhorn and